2x^2-15x+9=-12x+4

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Solution for 2x^2-15x+9=-12x+4 equation: 


Simplifying
2x2 + -15x + 9 = -12x + 4

Reorder the terms:
9 + -15x + 2x2 = -12x + 4

Reorder the terms:
9 + -15x + 2x2 = 4 + -12x

Solving
9 + -15x + 2x2 = 4 + -12x

Solving for variable 'x'.

Reorder the terms:
9 + -4 + -15x + 12x + 2x2 = 4 + -12x + -4 + 12x

Combine like terms: 9 + -4 = 5
5 + -15x + 12x + 2x2 = 4 + -12x + -4 + 12x

Combine like terms: -15x + 12x = -3x
5 + -3x + 2x2 = 4 + -12x + -4 + 12x

Reorder the terms:
5 + -3x + 2x2 = 4 + -4 + -12x + 12x

Combine like terms: 4 + -4 = 0
5 + -3x + 2x2 = 0 + -12x + 12x
5 + -3x + 2x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
5 + -3x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
2.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.5x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.5x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5x + x2 = 0 + -2.5
-1.5x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.5x + x2 = -2.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2.5 + 0.5625

Combine like terms: -2.5 + 0.5625 = -1.9375
0.5625 + -1.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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